This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
w(2w + 3) = 9
From this, we get that:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
Thus a quadratic equation with 
Then
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958
The value of x in the given equation 
is 0.03
<u>Step-by-step explanation:</u>
The given equation is that
<u>The steps to be followed to solve the equation are :</u>
Add the like terms together to reduce the equation in a simplified form.
Here, there are two x terms and they must be reduced to a single term.
For this, add the both terms together so that the equation is simplified into one x term and a constant term.
⇒ 
⇒ 
To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.
⇒ 
⇒ 
Now, the equation is further simplified by dividing 4.15 on both sides,
⇒ 
⇒ 
Therefore, the value of x is 0.03
4:5
explanation-
Express the given ratios as fraction
4 : 5 = 4/5 and 2 : 3 =2/3
Now find the L.C.M (least common multiple) of 5 and 3
The L.C.M (least common multiple) of 5 and 3 is 15.
Making the denominator of each fraction equal to 15, we have
4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15
Clearly, 12 > 10
Now, 12/15 > 10/15
Therefore, 4 : 5 > 2 : 3.
Answer:
ax+b
Step-by-step explanation:
